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Finding the Fourth Proportional to 342,930.72, 473,475.47 and 214,065.39

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Solution

The fourth proportional to 342,930.72, 473,475.47 and 214,065.39 is: 295,554.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,930.72 : 473,475.47 = 214,065.39 : x
  2. Step 2: Convert to fraction form
    342,930.72/473,475.47 = 214,065.39/x
  3. Step 3: Cross multiply
    342,930.72x = 473,475.47 × 214,065.39
  4. Step 4: Simplify right side
    342,930.72x = 101,354,711,140.98
  5. Step 5: Solve for x
    x = 101,354,711,140.98/342,930.72
  6. Step 6: Final answer
    x = 295,554.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.